The number of men and women among professors in Math, Physics, Chemistry, Linguistics, and English departments of a certain college were counted, and the results are shown in the table below. Dept. Math Physics Chemistry Linguistics English Men 46 56 26 12 20 Women 4 5 3 2 17 Test the claim that the gender of a professor is independent of the department. Use the significance level a 0.01 The test statistic is x² The critical value is x² is there sufficient evidence to warrant the rejection of the claim that the gender of a professor is independent of the department? CA. No OB. Yes

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